Mathematical analysis

Mathematical analysis is a branch of mathematics that studies continuous change using the principles of analysis.

Description

Mathematical analysis includes the theories of:

• Differentiation
• Integration
• Measurement
• Limits
• Infinite series
• Analytic functions.

These theories are usually studied in the context of real and complex numbers and functions.

Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis.

Comparison with geometry

Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space).

See also

• Analysis
• Calculus
• Complex analysis
• Complex number
• Constructive analysis
• Mathematical object
• Mathematics
• Real number

External links

• Mathematical analysis @ Wikipedia